Abstract
We first discuss the synchronous and asynchronous interpretations of relativistic dynamics, and then prove that the synchronous formulation makes it possible to define in the limitv↦c the energy-momentum four-vector of a classical field on a wavefront propagating with the velocity of light. It is also shown that except for plane waves, the Poynting vector is not the energy flow vector of the electromagnetic field.
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Hillion, P. Energy-momentum four-vector on a wavefront. Int J Theor Phys 30, 197–204 (1991). https://doi.org/10.1007/BF00670712
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DOI: https://doi.org/10.1007/BF00670712